Friday, May 09, 2008

DNA Replication in E. coli: The Problem

I was mildly disappointed to see Carl repeat a common myth about DNA replication in E. coli on page 29. Since we often use this myth to teach critical thinking in our undergraduate classes, I thought it would be worthwhile to discuss it here.

Today I'm going to present the problem and let everyone think about a possible solution. On Sunday, I'll publish the answer. (If you know the solution, you are not allowed to post it in the comments—I'll delete those comments. You can ask for clarification or speculate.)

Here's what Carl says at the top of page 29.

E. coli faces a far bigger challenge to its order when it reproduces. To reproduce, it must create a copy of its DNA, pull those chromosomes to either end of its interior, and slice itself in half. Yet E. coli can do all of that with almost perfect accuracy in as little as twenty minutes.

Today, we're not concerned about the 20 minute generation time but I note, for the record, that the average generation time of E. coli, in vivo, is about one day. I also want to mention that the 20 minute generation time is an extreme example that's achieved only under the most extraordinary circumstances. Typical generation times in the lab are about 30 minutes.

However, that's not the problem. Let's assume a generation time of 20 minutes.

In the next paragraph Carl says ...

The first step in building a new E. coli—copying more than a million base pairs of DNA—begins when two dozen different kinds of enzymes swoop down on a single spot along E. coli's chromosome. Some of them pull the two strands of DNA apart while others grip the strands to prevent them from twisting away or collapsing back on each other. Two squadrons of enzymes begin marching down each strand, grabbing loose molecules to build it a partner. The squadrons can add a thousand new bases to a strand every second.

What Carl is referring to the the assembly of replication complexes (replisomes) at the origin of replication. Once those complexes are assembled, replication fires off and proceeds in opposite directions (bidirectionally) until the two fork meet at the opposite side of the chromosome.

Carl is correct when he says that the forks move at 1000 nucleotides per second. Later on in his book he mentions that the size of the E. coli chromosome is 4,600,000 base pairs or 4,600 kb (p. 116). At 1000 nucs per second it would take 4600 second to replicate this DNA if there was only one replication fork. Since there are two, it will take 2,300 seconds.

You can do the math. This is 38 minutes. It is a correct number—it takes at least 38 minutes to replicate the E. coli chromosome, not 20 minutes as stated earlier. It is true that the generation time of E. coli can be as short as 20 minutes under extraordinary circumstances.

Here's the problem. How can E. coli divide faster than it can replicate it's chromosome?

Can the new copies begin to replicate before they have finished replicating themselves? Can the daughter cells form with DNA that is already in the process of replicating?I guess generation time is highly dependent on the environment, resources, temperature, pH, etc

Nice! I used the same question when I taught Intro to Microbiology. It was one of those question I left them with to think about until next class.

I am not a bacteriologist, but I always wanted to know (based on the answer to this question), if the genes required for rapid growth were located closer to the ORI. Using a gene dosage -> protein concentration argument.

How was the average generation time determined? What's the "average" environment for E. coli? How would you even measure that?

Another good question...

Your digestive tract is a chemostat (w/ heterogeneous zones). In a chemostat, generation times are set by dilution rates, which in this case would be a function of the transit time for one's digestive system. How to measure transit time? Try a meal or whole corn kernels or beets.

The "average generation time of 24hrs" figure was literally pulled out of someone's ass. YGMMV*.

Okay, I don't see how Michael's argument leads to sustainable division rates. But the idea does, as multiple genomes can be parallel replicated.

Options along that line: multiple copies of genome (but presumably only one chromosome from the post) or equivalently multiple paired replication forks in parallel, or multiple paired replication forks in series. Or possibly both, to mess up the division thoroughly. :-)

Hmm. I wish I could eliminate other options as "impossible" to follow Sherlock Holmes lead.

Laurence A. Moran

Larry Moran is a Professor in the Department of Biochemistry at the University of Toronto. You can contact him by looking up his email address on the University of Toronto website.

Sandwalk

The Sandwalk is the path behind the home of Charles Darwin where he used to walk every day, thinking about science. You can see the path in the woods in the upper left-hand corner of this image.

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Quotations

The old argument of design in nature, as given by Paley, which formerly seemed to me to be so conclusive, fails, now that the law of natural selection has been discovered. We can no longer argue that, for instance, the beautiful hinge of a bivalve shell must have been made by an intelligent being, like the hinge of a door by man. There seems to be no more design in the variability of organic beings and in the action of natural selection, than in the course which the wind blows.Charles Darwin (c1880)Although I am fully convinced of the truth of the views given in this volume, I by no means expect to convince experienced naturalists whose minds are stocked with a multitude of facts all viewed, during a long course of years, from a point of view directly opposite to mine. It is so easy to hide our ignorance under such expressions as "plan of creation," "unity of design," etc., and to think that we give an explanation when we only restate a fact. Any one whose disposition leads him to attach more weight to unexplained difficulties than to the explanation of a certain number of facts will certainly reject the theory.

Charles Darwin (1859)Science reveals where religion conceals. Where religion purports to explain, it actually resorts to tautology. To assert that "God did it" is no more than an admission of ignorance dressed deceitfully as an explanation...

Quotations

The world is not inhabited exclusively by fools, and when a subject arouses intense interest, as this one has, something other than semantics is usually at stake.
Stephen Jay Gould (1982)
I have championed contingency, and will continue to do so, because its large realm and legitimate claims have been so poorly attended by evolutionary scientists who cannot discern the beat of this different drummer while their brains and ears remain tuned to only the sounds of general theory.
Stephen Jay Gould (2002) p.1339
The essence of Darwinism lies in its claim that natural selection creates the fit. Variation is ubiquitous and random in direction. It supplies raw material only. Natural selection directs the course of evolutionary change.
Stephen Jay Gould (1977)
Rudyard Kipling asked how the leopard got its spots, the rhino its wrinkled skin. He called his answers "just-so stories." When evolutionists try to explain form and behavior, they also tell just-so stories—and the agent is natural selection. Virtuosity in invention replaces testability as the criterion for acceptance.
Stephen Jay Gould (1980)
Since 'change of gene frequencies in populations' is the 'official' definition of evolution, randomness has transgressed Darwin's border and asserted itself as an agent of evolutionary change.
Stephen Jay Gould (1983) p.335
The first commandment for all versions of NOMA might be summarized by stating: "Thou shalt not mix the magisteria by claiming that God directly ordains important events in the history of nature by special interference knowable only through revelation and not accessible to science." In common parlance, we refer to such special interference as "miracle"—operationally defined as a unique and temporary suspension of natural law to reorder the facts of nature by divine fiat.
Stephen Jay Gould (1999) p.84

Quotations

My own view is that conclusions about the evolution of human behavior should be based on research at least as rigorous as that used in studying nonhuman animals. And if you read the animal behavior journals, you'll see that this requirement sets the bar pretty high, so that many assertions about evolutionary psychology sink without a trace.

Jerry Coyne
Why Evolution Is TrueI once made the remark that two things disappeared in 1990: one was communism, the other was biochemistry and that only one of them should be allowed to come back.

Sydney Brenner
TIBS Dec. 2000
It is naïve to think that if a species' environment changes the species must adapt or else become extinct.... Just as a changed environment need not set in motion selection for new adaptations, new adaptations may evolve in an unchanging environment if new mutations arise that are superior to any pre-existing variations

Douglas Futuyma
One of the most frightening things in the Western world, and in this country in particular, is the number of people who believe in things that are scientifically false. If someone tells me that the earth is less than 10,000 years old, in my opinion he should see a psychiatrist.

Francis Crick
There will be no difficulty in computers being adapted to biology. There will be luddites. But they will be buried.

Sydney Brenner
An atheist before Darwin could have said, following Hume: 'I have no explanation for complex biological design. All I know is that God isn't a good explanation, so we must wait and hope that somebody comes up with a better one.' I can't help feeling that such a position, though logically sound, would have left one feeling pretty unsatisfied, and that although atheism might have been logically tenable before Darwin, Darwin made it possible to be an intellectually fulfilled atheist

Richard Dawkins
Another curious aspect of the theory of evolution is that everybody thinks he understand it. I mean philosophers, social scientists, and so on. While in fact very few people understand it, actually as it stands, even as it stood when Darwin expressed it, and even less as we now may be able to understand it in biology.

Jacques Monod
The false view of evolution as a process of global optimizing has been applied literally by engineers who, taken in by a mistaken metaphor, have attempted to find globally optimal solutions to design problems by writing programs that model evolution by natural selection.